PDF chapter test

### Theory

 1 Introduction 2 Tangent to a circle 3 Results 1 and 2 on circles and tangents 4 Result 3 on circles and tangents 5 Result 4 on circles and tangents 6 Result 5 on circles and tangents 7 Result 6 on circles and tangents 8 Alternate Segment Theorem 9 Construction of a tangent to a circle using its centre 10 Construction of a tangent to a circle using alternate segment theorem 11 Construction of a pair of tangents to a circle from an external point 12 Congruency theorems

### Textbook Questions

 1 Multiple choice question Difficulty: easy 5 2 Two marks example problems - I Difficulty: medium 8 3 Two marks exercise problems - I Difficulty: medium 8 4 Five marks example problems - II Difficulty: medium 15 5 Five marks exercise problems - II Difficulty: hard 15 6 Five marks exercise problems - III Difficulty: hard 15 7 Five marks exercise problems - IV Difficulty: hard 0 8 Eight mark example problems I Difficulty: hard 0 9 Eight mark example problems II Difficulty: hard 0 10 Eight mark example problems III Difficulty: hard 0 11 Eight mark exercise problems I Difficulty: hard 0 12 Eight mark exercise problems II Difficulty: hard 0 13 Eight mark exercise problems III Difficulty: hard 0 14 Eight mark exercise problems IV Difficulty: hard 0 15 Eight mark exercise problems V Difficulty: hard 0 16 Eight mark exercise problems VI Difficulty: hard 0

### Practice Questions

 1 Find the value of 'x' Difficulty: easy 1 2 Find the length as directed Difficulty: easy 2 3 Find the sides of an equilateral triangle Difficulty: easy 2 4 Find the length Difficulty: easy 2 5 Find the length of the tangent Difficulty: medium 3 6 Find the unknown angle Difficulty: medium 3 7 Find the radius of the larger circle Difficulty: medium 3 8 Find the angle Difficulty: medium 3 9 Find the length of the left out portion Difficulty: medium 3 10 Find the value of 'x', 'y' and 'z' Difficulty: hard 6 11 Find the length of the required tangent Difficulty: hard 4 12 Find the value of 'x' and 'y' Difficulty: hard 4

### Key Questions for School Exam Preparation

 1 Find the length of BC Difficulty: medium 2 2 Find AD, BE and CF Difficulty: hard 5 3 Determine the radius of the circle Difficulty: hard 5

### Teacher manual

 1 Methodical recommendation